Abstract
Waves are constructed which characterize the behavior, for large values of time , of the Green's functions of the basic exterior boundary value problems for the wave equation with two space variables (behind the wave front). Representations of the Green's functions (and the solutions) are obtained in the form of series, asymptotic in as . The principle of limiting amplitude is proved, i.e., the existence of the limit is established for solutions of the basic exterior boundary value problems for the wave equation in the case of a time-periodic driving force (), and a representation is obtained for the difference in the form of a series asymptotic in as ; it is shown that the rate of emergence of a solution to a periodic regime cannot be greater than a power of .Bibliography: 18 titles.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
